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8225480 = 2351979137
BaseRepresentation
bin11111011000001011001000
3120110220020102
4133120023020
54101203410
6452144532
7126625664
oct37301310
916426212
108225480
114708a1a
122908148
13191cc63
1411418a4
15ac72a5
hex7d82c8

8225480 has 64 divisors (see below), whose sum is σ = 19872000. Its totient is φ = 3055104.

The previous prime is 8225471. The next prime is 8225491. The reversal of 8225480 is 845228.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59972 + ... + 60108.

It is an arithmetic number, because the mean of its divisors is an integer number (310500).

Almost surely, 28225480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8225480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9936000).

8225480 is an abundant number, since it is smaller than the sum of its proper divisors (11646520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8225480 is a wasteful number, since it uses less digits than its factorization.

8225480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 8225480 is about 2868.0097628844. The cubic root of 8225480 is about 201.8616181259.

The spelling of 8225480 in words is "eight million, two hundred twenty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 79 95 137 152 158 190 274 316 380 395 548 632 685 760 790 1096 1370 1501 1580 2603 2740 3002 3160 5206 5480 6004 7505 10412 10823 12008 13015 15010 20824 21646 26030 30020 43292 52060 54115 60040 86584 104120 108230 205637 216460 411274 432920 822548 1028185 1645096 2056370 4112740 8225480